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Finding the Fourth Proportional to 2,548.64, 3,822.82 and 817.13

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Solution

The fourth proportional to 2,548.64, 3,822.82 and 817.13 is: 1,225.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,548.64 : 3,822.82 = 817.13 : x
  2. Step 2: Convert to fraction form
    2,548.64/3,822.82 = 817.13/x
  3. Step 3: Cross multiply
    2,548.64x = 3,822.82 × 817.13
  4. Step 4: Simplify right side
    2,548.64x = 3,123,719.75
  5. Step 5: Solve for x
    x = 3,123,719.75/2,548.64
  6. Step 6: Final answer
    x = 1,225.64

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.